Correlations of Abelian monopoles in quark-gluon plasma

TL;DR

This study investigates the behavior of Abelian monopoles in quark-gluon plasma, revealing they behave like a dilute gas with pairwise interactions, across a range of high temperatures.

Contribution

It provides the first detailed analysis of three-point correlation functions of Abelian monopoles in QGP, showing they are consistent with pairwise interactions only.

Findings

Monopole correlations are described by pair interactions.

The monopole system behaves as a dilute gas.

No three-particle forces are observed among monopoles.

Abstract

In this paper the properties of thermal Abelian monopoles in the deconfinement phase of the SU(2) gluodynamics are considered. In particular, to study the properties of the Abelian monopole component of QGP we calculate three-point correlation functions of monopoles for different temperatures from the region $T/T_c \in (1.5, 6.8)$. The results of the calculation show that the three-point correlation functions can be described by independent pair correlations of monopoles. From this one can conclude that the system of Abelian monopoles in QGP reveals the properties of a dilute gas. In addition, one can assert that the interaction between Abelian monopoles is a pair interaction and there are no three-particle forces acting between monopoles.